Evaluate the surface integral S F d S for the given vector field F and the oriented surface S . In other words, find the flux of F across S .’

nEvaluate the surface integral xe2x88xabxe2x88xabSxc2xa0Fxc2xa0xc2xb7xc2xa0dSxc2xa0for the given vector fieldxc2xa0Fxc2xa0and the oriented surfacexc2xa0S. In other words, find the flux ofxc2xa0Fxc2xa0acrossxc2xa0S. For closed surfaces, use the positive (outward) orientation.F(x,xc2xa0y,xc2xa0z) =xc2xa0xxc2xa0ixc2xa0+xc2xa03yxc2xa0jxc2xa0+xc2xa04zxc2xa0kSxc2xa0is the cube with vertices (+1,+1,+1) ‘